What is the equation of the line shown in the graph?
1 answer:
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Answer:
See below.
Step-by-step explanation:
Let <em>x</em> represent the number of days.
Since Day and Night Kennel charges a fee of $20 per day and only a one-time fee of $15:
Where <em>y</em> represents the total cost, <em>20x</em> represents the cost for staying <em>x</em> days and <em>15</em> is the initial one-time fee.
For Bark Time Hotel, similarly:
Again, <em>y</em> represents the total cost, <em>30x</em> represents the cost for staying <em>x</em> days, and <em>5</em> is the initial one-time fee.
Thus, the system of equations is:
9514 1404 393
Answer:
y = -3/2x +11
Step-by-step explanation:
The slope of the parallel line is the same as the slope of the given line, so ...
m = -3/2
The y-intercept of the parallel line can be found from ...
b = y -mx
b = 5 -(-3/2)(4) = 11
So, the desired equation is ...
y = mx +b
y = -3/2x + 11
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<em>Additional comment</em>
Since you know the slope and a point on the desired line, you can write down the equation directly using the point-slope form. No additional math is required.
y -5 = -3/2(x -4)
